Daniel R. Hawtin

activity

20122026

most citedThe circular altitude of a graph

1 citations · 1 across the 16 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.CO2023

An explicit construction for large sets of infinite dimensional $q$ -Steiner systems

Daniel R. Hawtin

Let $V$ be a vector space over the finite field $F_{q}$ . A $q$ -Steiner system, or an $S (t, k, V)_{q}$ , is a collection $B$ of $k$ -dimensional subspaces of $V$ such t…

math.CO2023

Neighbour-transitive codes in Kneser graphs

Dean Crnković, Daniel R. Hawtin, Nina Mostarac +1

A code $C$ is a subset of the vertex set of a graph and $C$ is $s$ -neighbour-transitive if its automorphism group $Aut (C)$ acts transitively on each of the first $s + 1$ parts…

math.CO2023

Using mixed dihedral groups to construct normal Cayley graphs, and a new bipartite $2$ -arc-transitive graph which is not a Cayley graph

Daniel R. Hawtin, Cheryl E. Praeger, Jin-Xin Zhou

A \emph{mixed dihedral group} is a group $H$ with two disjoint subgroups $X$ and $Y$ , each elementary abelian of order $2^{n}$ , such that $H$ is generated by $X \cup Y$ , and $H/H'\con…

math.CO2023

A family of $2$ -groups and an associated family of semisymmetric, locally $2$ -arc-transitive graphs

Daniel R. Hawtin, Jin-Xin Zhou, Cheryl E. Praeger

A mixed dihedral group is a group $H$ with two disjoint subgroups $X$ and $Y$ , each elementary abelian of order $2^{n}$ , such that $H$ is generated by $X \cup Y$ , and $H/H'\cong X\tim…

An explicit construction for large sets of infinite dimensional q-Steiner systems

Neighbour-transitive codes in Kneser graphs

Using mixed dihedral groups to construct normal Cayley graphs, and a new bipartite 2-arc-transitive graph which is not a Cayley graph

A family of 2-groups and an associated family of semisymmetric, locally 2-arc-transitive graphs

An explicit construction for large sets of infinite dimensional $q$ -Steiner systems

Using mixed dihedral groups to construct normal Cayley graphs, and a new bipartite $2$ -arc-transitive graph which is not a Cayley graph

A family of $2$ -groups and an associated family of semisymmetric, locally $2$ -arc-transitive graphs